Final answer:
Murphy's sign is a clinical indication involving inspiratory arrest during deep palpation of the upper right abdominal quadrant, typically suggesting acute cholecystitis.
Step-by-step explanation:
The clinical sign that involves inspiratory arrest with deep palpation of the upper right quadrant of the abdomen is known as Murphy's sign. This sign is commonly associated with acute cholecystitis, which is inflammation of the gallbladder. When a breath is taken in, the descending diaphragm pushes the inflamed gallbladder onto the examining hand, eliciting pain and causing the patient to abruptly stop inspiration due to discomfort. It is a critical diagnostic clue for healthcare providers.